Average Error: 0.0 → 0.0
Time: 652.0ms
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r31165 = x;
        double r31166 = y;
        double r31167 = r31165 + r31166;
        double r31168 = sqrt(r31167);
        return r31168;
}
↓
double f(double x, double y) {
        double r31169 = x;
        double r31170 = y;
        double r31171 = r31169 + r31170;
        double r31172 = sqrt(r31171);
        return r31172;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\sqrt{x + y}\]

  2. Final simplification0.0

    \[\leadsto \sqrt{x + y}\]

Reproduce

herbie shell --seed 2019350 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))